14 The ratio of the side of a square to the diagonal is 1.4.
Use Pythagoras: Diagonal² = √(2 × sidelength²) → diagonal = side_length × √2 → diagonal = 10 cm × √2 ≈ 14.1 cm
The diagonal = the square root of (6 squared + 8 squared) 6 squared+8squared = 100 the square root of 100 = 10 so the length of the diagonal is 10. The above used Pythagoras' theorem which says the square on the diagonal is equal to the sum of the squares on the other two sides.
Area = 50 cm2
14.142 cm (rounded)
3.5 ft
The square of the diagonal is (652+692)=8986 The diagonal is then the square root of 8986=94.79...
14 The ratio of the side of a square to the diagonal is 1.4.
Ah, what a lovely question! To find the length of the diagonal of a square, we can use the Pythagorean theorem. Since we have a 10 by 10 ft square, both sides are equal, making it a right triangle with legs of 10 ft each. By using a^2 + b^2 = c^2, where a and b are the legs and c is the diagonal, we find that the diagonal is √(10^2 + 10^2) = √200 ft.
If the area of a square is 100, then its side length is 10. If we draw in a diagonal, then we know by the Pythagorean formula that the diagonal's length is sqrt(10^2 + 10^2) = sqrt(200) = 10*sqrt(2).The square root of 2 is approximately 1.414, so the diagonal's length is approximately 10*1.414 =14.14* The diagonal of any square is the side length times (sq rt 2).
The garden's diagonal is 10 meters.
The area of square is : 100.0
6.2
10' x 16' is not a square but a rectangle and the diagonal is square root of (10^2 + 16^2) = square root of (100 + 256) = square root of 356 which is 18.867 feet
4
Diagonal = 18*sqrt(2) = 18*1.414214 = 25.45584 feet
Use Pythagoras: Diagonal² = √(2 × sidelength²) → diagonal = side_length × √2 → diagonal = 10 cm × √2 ≈ 14.1 cm